I'm in love, but afraid of screwing up.

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Okay /adv/, I am in love with a girl who was in my class until this year, however now that the year is over she's changing to another college which is causing me to feel very nervous as most of the people who change schools just cut contact, and I don't wanna lose her.

We are pretty good friends, not best friends by any means, but we do get along well and have quite a bit in common, Now my main problem here is, I want to ask her out somewhere, but her parents don't allow her to be in a relationship, nor even go out with guys, and as if this wasn't enough she is very focused on her studies and I believe she may not be interested in a relationship either... hell, I don't even know if she likes me at all... Some friends have told me we're very compatible, and that I should do it, they'd even help me by inviting us both in a group so we could get closer and talk more since her parents wouldn't let her go out with just me, but I'm still terrible at talking... And although I'm already prepared for rejection, I fear that if I try and confess, I may screw up and even lose her friendship...

Any advice on what I should do?
(Can also give more details if needed).